how to represent √10 in a number line
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Answer:
We can do it by using Pythagoras Theorem.
We can write
10
as follows:
10
=
9+1
⇒
10
=
3
2
+1
2
The construction steps are as follows:
1. Take a line segment AO=3 unit on the x-axis. (consider 1 unit = 2 cm)
2. Draw a perpendicular on O and draw a line OC=1 unit
3. Now join AC with
10
.
4. Take A as center and AC as radius, draw an arc which cuts the x-axis at point E.
5. The line segment AC in the below diagram represents
underoot 10
units.
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